1) Given- A= (0,2), B=(5,8)
Prove- Line AB has a slope of 4/5
As you can see, AB rises 4 and runs 5 from (0,0)
2) Given- A= (0,1), B= (1,0)
C= (0,0), D= (1,1)
Prove- Line AB is Perpendicular to Line CD
Line AB has a slope -1 and Line CD has a slope of 1
because they have opposite slopes, line CD is perpendicular to line AB
Prove- Line AB has a slope of 4/5
As you can see, AB rises 4 and runs 5 from (0,0)
2) Given- A= (0,1), B= (1,0)
C= (0,0), D= (1,1)
Prove- Line AB is Perpendicular to Line CD
Line AB has a slope -1 and Line CD has a slope of 1
because they have opposite slopes, line CD is perpendicular to line AB
3) Given- A= (1,0), B= (1,6), C= (7,0)
Prove- Triangle ABC is isosceles
Triangle ABC is isosceles because segment AB is congruent to segment AC
You can tell they are equal because B and C are both 6 away from A